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Finding the Fourth Proportional to 3,782.63, 5,666.79 and 2,140.36

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Solution

The fourth proportional to 3,782.63, 5,666.79 and 2,140.36 is: 3,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.63 : 5,666.79 = 2,140.36 : x
  2. Step 2: Convert to fraction form
    3,782.63/5,666.79 = 2,140.36/x
  3. Step 3: Cross multiply
    3,782.63x = 5,666.79 × 2,140.36
  4. Step 4: Simplify right side
    3,782.63x = 12,128,970.64
  5. Step 5: Solve for x
    x = 12,128,970.64/3,782.63
  6. Step 6: Final answer
    x = 3,206.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.